42182280 has 192 divisors, whose sum is σ = 165110400. Its totient is φ = 9123840.

The previous prime is 42182279. The next prime is 42182291. The reversal of 42182280 is 8228124.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47440 + ... + 48320.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 2^42182280 is an apocalyptic number.

42182280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42182280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

42182280 is an abundant number, since it is smaller than the sum of its proper divisors (122928120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42182280 is a wasteful number, since it uses less digits than its factorization.

42182280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 42182280 is about 6494.7886801650. The cubic root of 42182280 is about 348.1048039473.

The spelling of 42182280 in words is "forty-two million, one hundred eighty-two thousand, two hundred eighty".